Solve the Problem $\mathrm { S }$ Of a Rectangular Wooden Beam Is Proportional to Its Width

question 167

Multiple Choice

Solve the problem.
-The strength $\mathrm { S }$ of a rectangular wooden beam is proportional to its width times the square of its depth. Find the dimensions of the strongest beam that can be cut from a 10 -in.-diameter cylindrical log. (Round answers to the nearest tenth.)

• A) w = 5.8 in.; d = 8.2 in.
• B) w = 6.8 in.; d = 7.2 in.
• C) w = 6.8 in.; d = 9.2 in.
• D) w = 4.8 in.; d = 9.2 in.

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Definitions:

Karen Horney

Karen Horney was a psychoanalyst who postulated theories on neurosis, personality, and the importance of social and cultural factors in mental health, diverging from Freudian viewpoints.

Ego

In psychoanalytic theory, the part of the psyche that mediates between the demands of the id, the superego, and the external world.

Identity

The understanding or concept of oneself as a unique individual, including aspects of self-concept and social identity.

Erikson

Erik Erikson, a developmental psychologist known for his theory on the psychosocial development of humans, emphasizing the impact of social interaction across the lifespan.